Faculty Works, Department of Mathematics
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On the diagonal subalgebra of an Ext algebra
(201704)Let R be a Koszul algebra over a field k and M be a linear Rmodule. We study a graded subalgebra Delta(M) of the Extalgebra Ext(R)*(M, M) called the diagonal subalgebra and its properties. Applications to the Hochschild ... 
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories
(20170627)The problem of emergence of fast gravitywave oscillations in rotating, stratified flow is reconsidered. Fast inertiagravity oscillations have long been considered an impediment to initialization of weather forecasts, and ... 
Examining Mathematics Anxiety of Undergraduates Using a BrainBased Measurement, EEG
(Scientific Research Publishing, 20190527)This paper reports on an investigation of mathematics anxiety (MA) among 40 Korean undergraduate students, using cognitive neuroscience. In Spring 2015, we collected data on correct response rates and reaction times from ... 
How soap bubbles freeze
(Springer Nature, 20190618)Droplets or puddles tend to freeze from the propagation of a single freeze front. In contrast, videographers have shown that as soap bubbles freeze, a plethora of growing ice crystals can swirl around in a beautiful effect ... 
Linked withinhost and betweenhost models and data for infectious diseases: a systematic review
(PeerJ, 20190619)The observed dynamics of infectious diseases are driven by processes across multiple scales. Here we focus on two: withinhost, that is, how an infection progresses inside a single individual (for instance viral and immune ... 
Individual and situational factors related to undergraduate mathematics instruction
(20190628)Abstract Background In the US, there is significant interest from policy boards and funding agencies to change students’ experiences in undergraduate mathematics classes. Even ... 
Bridging Frameworks for Understanding Numerical Cognition
(LeibnizInstitute for Psychology Information (ZPID), 20180607) 
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
(Hindawi Publishing Corp, 19910101)It is shown that if X is a uniformly convex Banach space and S a bounded linear operator onX for which ?IS?=1, then S is invertible if and only if ?I12S? <1. From this it follows thatif S is invertible on X then either ... 
Editorial: Integrative Computational Systems Biology Approaches in Immunology and Medicine
(Frontiers, 20190123) 
Disrupting Mosquito Reproduction and Parasite Development for Malaria Control
(PLOS, 20161215)The control of mosquito populations with insecticide treated bed nets and indoor residual sprays remains the cornerstone of malaria reduction and elimination programs. In light of widespread insecticide resistance in ... 
Antibody Responses during Hepatitis B Viral Infection
(PLOS, 201407)Hepatitis B is a DNA virus that infects liver cells and can cause both acute and chronic disease. It is believed that both viral and host factors are responsible for determining whether the infection is cleared or becomes ... 
Mathematical Models of EAntigen Mediated Immune Tolerance and Activation following Prenatal HBV Infection
(PLOS, 20120702)We develop mathematical models for the role of hepatitis B eantigen in creating immunological tolerance during hepatitis B virus infection and propose mechanisms for hepatitis B eantigen clearance, subsequent emergence ... 
An introduction to compartmental modeling for the budding infectious disease modeler
(Taylor & Francis, 20180816)Mathematical models are ubiquitous in the study of the transmission dynamics of infectious diseases, In particular, the classic ‘susceptibleinfectiousrecovered’ (SIR) paradigm provides a modeling framework that can be ... 
Modeling the Mechanisms by Which HIV Associated Immunosuppression Influences HPV Persistence at the Oral Mucosa
(PLOS, 20170106)Human immunodeficiency virus (HIV)infected patients are at an increased risk of coinfection with human papilloma virus (HPV), and subsequent malignancies such as oral cancer. To determine the role of HIVassociated immune ... 
A Bistable Switch in Virus Dynamics Can Explain the Differences in Disease Outcome Following SIV Infections in Rhesus Macaques
(Frontiers, 20180606)Experimental studies have shown that the size and infectiousstage of viral inoculum influence disease outcomes in rhesus macaques infected with simian immunodeficiency virus. The possible contribution to disease outcome ... 
Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
(Hindawi, 20180712)Let 𝑋 be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space 𝑋∗. Let𝑇 : 𝑋 ⊇ 𝐷(𝑇) → 2𝑋∗ be a maximal monotone operator and 𝐶 : 𝑋 ⊇ 𝐷(𝐶) → 𝑋∗ be bounded and continuous ... 
Randomized Approach to Nonlinear Inversion Combining Simultaneous Random and Optimized Sources and Detectors
In partial differential equationsbased inverse problems with many measurements, we have to solve many large linear system for each evaluation of the objective function. In the nonlinear case, each evaluation of the Jacobian ... 
Interpolatory Model Reduction of Parameterized Bilinear Dynamical Systems
Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric bilinear dynamical systems. However, this is not the case for parametric ... 
Damping optimization of parameter dependent mechanical systems by rational interpolation
We consider an optimization problem related to semiactive damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use ... 
Datadriven structured realization
(Elsevier Science Inc, 20180115)